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Finding the Fourth Proportional to 557.02, 834.18 and 394.48

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Solution

The fourth proportional to 557.02, 834.18 and 394.48 is: 590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.02 : 834.18 = 394.48 : x
  2. Step 2: Convert to fraction form
    557.02/834.18 = 394.48/x
  3. Step 3: Cross multiply
    557.02x = 834.18 × 394.48
  4. Step 4: Simplify right side
    557.02x = 329,067.33
  5. Step 5: Solve for x
    x = 329,067.33/557.02
  6. Step 6: Final answer
    x = 590.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.